Whenever we listen stereo songs, one part of the audio like voice hear at the center of the head, and other parts are nearby left ear and right ear. If I represent center part by C, and other parts by L' and R', We may model our original left and right channel as,
L' + C = L and,
R' + C = R.
As, common part of L and R channel comes in C vector, L' and R' are uncorrelated. Now we can say, (alpha + beta = pi/2)
Is this modelling correct as per the listening scenario for stereo sound?